Estimates for the asymptotic convergence of a non-isothermal linear elasticity with friction
Abdelkader Saadallah, Hamid Benseridi, Mourad Dilmi, Salah Drabla · Georgian Mathematical Journal · 2016
Abstract In this paper, we are interested in the study of the asymptotic analysis of a dynamical problem in elasticity with nonlinear friction of Tresca type. The Lamé coefficients of a thin layer are assumed to vary with respect to the thin layer parameter ε and to depend on the temperature. We prove the existence and uniqueness of a weak solution for the limit problem. The proof is carried out by the use of the asymptotic behavior when the dimension of the domain tends to zero.